May anyone can help in this case.
I have a map F:
in a different note:
I must to find out if this map is linear, surjective, injective?
The first point I already done, so I know the map is linear. I have more problems with second and third point. My thinking:
1) the map is not injective because:
2) but the map is surjective because:
for every g in G exits d in D that is F(d)=g
Are those two arguments correct?
Thanks in advance!